# Square function

From Calculus

## Definition

The **square function** or **square map** is a function defined on all real numbers that sends any real number to its square, i.e., its product with itself.

## Key data

Item | Value |
---|---|

default domain | all real numbers, i.e., all of |

range | all nonnegative real numbers, i.e., , same as no absolute maximum value; absolute minimum value: 0 |

local maximum values and points of attainment | no local maximum value |

local minimum values and points of attainment | local minimum value of 0 attained at 0 |

point of inflection (both coordinates) | no points of inflection |

derivative | |

second derivative | |

antiderivative | |

interval description based on increase/decrease and concave up/down | : decreasing and concave up : increasing and concave up |